You can go to Allrecipes.com and do a search. Their search feature will allow you to search for recipes both with and without ingredients you name. In other words, you can search for "chili" recipes that include "ground beef, navy beans, and onions" while leaving out those recipes that include "tomatoes". You may get a couple recipes that include canned soup, but those are easily replaced with homemade items.
I have found some of my family's most-loved recipes with this feature.
Good luck!